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Finding the Fourth Proportional to 359,596.80, 496,255.17 and 204,544.08

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Solution

The fourth proportional to 359,596.80, 496,255.17 and 204,544.08 is: 282,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,596.80 : 496,255.17 = 204,544.08 : x
  2. Step 2: Convert to fraction form
    359,596.80/496,255.17 = 204,544.08/x
  3. Step 3: Cross multiply
    359,596.80x = 496,255.17 × 204,544.08
  4. Step 4: Simplify right side
    359,596.80x = 101,506,057,192.89
  5. Step 5: Solve for x
    x = 101,506,057,192.89/359,596.80
  6. Step 6: Final answer
    x = 282,277.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.